{
  "purpose": "Source preparation only; no C-numbered research steps completed.",
  "sources": {
    "File61": {
      "path": "/workspace/scratch/1b40da62dcbd/project_sources/31-File_61.Jacob_Moses_Cumulative_Regular_Root_System-6-.md",
      "sha256": "d580afd48d6e12d6a798c4c9fa2824aab54252c6235300645af985c0d52cea09"
    },
    "File62": {
      "path": "/workspace/scratch/1b40da62dcbd/project_sources/18-File_62.Half_Clutch_Birth_Law_Interface-1-.md",
      "sha256": "be42daca1d82dac987c6c1e3f083a3bf267d023b9cfffee86565539cff4ed15d"
    }
  },
  "coordinate_convention": "Positive same-side BC labels; subtracting d moves forward d years. Rational strings are exact.",
  "typed_operations": [
    {
      "name": "H7",
      "formula": "C -> C-7",
      "domain": "Declared local cumulative Abraham\u2013Moses rail and collateral Joseph fixed-offset images",
      "codomain": "derived half-clutch coordinate",
      "source": "File62 \u00a7\u00a71.1,13.1"
    },
    {
      "name": "T14",
      "formula": "C -> C-14",
      "domain": "Declared local cumulative Abraham\u2013Moses rail and collateral Joseph fixed-offset images",
      "codomain": "derived full-clutch coordinate",
      "source": "File61 \u00a77.3"
    },
    {
      "name": "J_forward",
      "formula": "L -> (L,L-110)",
      "domain": "cumulative Levi boundary",
      "codomain": "collateral Joseph interval",
      "source": "File61 \u00a711.3"
    },
    {
      "name": "J_backward",
      "formula": "K -> (K+110,K)",
      "domain": "cumulative Kohath boundary",
      "codomain": "collateral Joseph interval",
      "source": "File61 \u00a711.2"
    }
  ],
  "envelopes": [
    {
      "head": "Levi birth",
      "volume": 487,
      "elapsed": 473,
      "difference": 14
    },
    {
      "head": "Entry",
      "volume": 444,
      "elapsed": 430,
      "difference": 14
    },
    {
      "head": "Levi death",
      "volume": 350,
      "elapsed": 336,
      "difference": 14
    }
  ],
  "envelope_source": "File61 \u00a7\u00a76.3\u20136.6; these are same compression after subtracting fixed leading segments, not independent evidence",
  "root_rails": [
    {
      "phase_state": "Moses_Nisan",
      "phase_offset": 0,
      "clutch": 0,
      "coordinates": {
        "Abraham": 2435,
        "Isaac": 2260,
        "Jacob": 2080,
        "Levi": 1933,
        "Kohath": 1796,
        "Amram": 1663,
        "Moses-side interface": 1526
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    },
    {
      "phase_state": "Moses_Nisan",
      "phase_offset": 0,
      "clutch": 7,
      "coordinates": {
        "Abraham": 2428,
        "Isaac": 2253,
        "Jacob": 2073,
        "Levi": 1926,
        "Kohath": 1789,
        "Amram": 1656,
        "Moses-side interface": 1519
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    },
    {
      "phase_state": "Moses_Nisan",
      "phase_offset": 0,
      "clutch": 14,
      "coordinates": {
        "Abraham": 2421,
        "Isaac": 2246,
        "Jacob": 2066,
        "Levi": 1919,
        "Kohath": 1782,
        "Amram": 1649,
        "Moses-side interface": 1512
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "phase_offset": "7/2",
      "clutch": 0,
      "coordinates": {
        "Abraham": "4877/2",
        "Isaac": "4527/2",
        "Jacob": "4167/2",
        "Levi": "3873/2",
        "Kohath": "3599/2",
        "Amram": "3333/2",
        "Moses-side interface": "3059/2"
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "phase_offset": "7/2",
      "clutch": 7,
      "coordinates": {
        "Abraham": "4863/2",
        "Isaac": "4513/2",
        "Jacob": "4153/2",
        "Levi": "3859/2",
        "Kohath": "3585/2",
        "Amram": "3319/2",
        "Moses-side interface": "3045/2"
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "phase_offset": "7/2",
      "clutch": 14,
      "coordinates": {
        "Abraham": "4849/2",
        "Isaac": "4499/2",
        "Jacob": "4139/2",
        "Levi": "3845/2",
        "Kohath": "3571/2",
        "Amram": "3305/2",
        "Moses-side interface": "3031/2"
      },
      "successive_lifespans": [
        175,
        180,
        147,
        137,
        133,
        137
      ],
      "source": "File62 \u00a7\u00a71.2\u20131.4; File61 \u00a7\u00a77.3A\u20137.6"
    }
  ],
  "parent_only_full_clutch_lifespans": [
    161,
    166,
    133,
    123,
    119,
    123
  ],
  "parent_only_to_fixed_Exodus": 66,
  "joseph_intervals": [
    {
      "phase_state": "Moses_Nisan",
      "clutch": 0,
      "portion": "forward",
      "start": 1933,
      "end": 1823,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 0,
      "portion": "backward",
      "start": 1906,
      "end": 1796,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 7,
      "portion": "forward",
      "start": 1926,
      "end": 1816,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 7,
      "portion": "backward",
      "start": 1899,
      "end": 1789,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 14,
      "portion": "forward",
      "start": 1919,
      "end": 1809,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 14,
      "portion": "backward",
      "start": 1892,
      "end": 1782,
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 0,
      "portion": "forward",
      "start": "3873/2",
      "end": "3653/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 0,
      "portion": "backward",
      "start": "3819/2",
      "end": "3599/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 7,
      "portion": "forward",
      "start": "3859/2",
      "end": "3639/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 7,
      "portion": "backward",
      "start": "3805/2",
      "end": "3585/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 14,
      "portion": "forward",
      "start": "3845/2",
      "end": "3625/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 14,
      "portion": "backward",
      "start": "3791/2",
      "end": "3571/2",
      "duration": 110,
      "source": "File61 \u00a711.3A; File62 \u00a75.2"
    }
  ],
  "joseph_regular_reference": [
    1915,
    1805
  ],
  "joseph_partition_family": [
    {
      "phase_state": "Moses_Nisan",
      "clutch": 0,
      "forward_flank": 18,
      "backward_flank": 9,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          18,
          9,
          83
        ],
        [
          9,
          83,
          18
        ],
        [
          83,
          18,
          9
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 7,
      "forward_flank": 11,
      "backward_flank": 16,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          11,
          16,
          83
        ],
        [
          16,
          83,
          11
        ],
        [
          83,
          11,
          16
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Moses_Nisan",
      "clutch": 14,
      "forward_flank": 4,
      "backward_flank": 23,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          4,
          23,
          83
        ],
        [
          23,
          83,
          4
        ],
        [
          83,
          4,
          23
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 0,
      "forward_flank": "43/2",
      "backward_flank": "11/2",
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          "43/2",
          "11/2",
          83
        ],
        [
          "11/2",
          83,
          "43/2"
        ],
        [
          83,
          "43/2",
          "11/2"
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 7,
      "forward_flank": "29/2",
      "backward_flank": "25/2",
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          "29/2",
          "25/2",
          83
        ],
        [
          "25/2",
          83,
          "29/2"
        ],
        [
          83,
          "29/2",
          "25/2"
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_Tishri_exact",
      "clutch": 14,
      "forward_flank": "15/2",
      "backward_flank": "39/2",
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          "15/2",
          "39/2",
          83
        ],
        [
          "39/2",
          83,
          "15/2"
        ],
        [
          83,
          "15/2",
          "39/2"
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_whole_year_display",
      "clutch": 0,
      "forward_flank": 21,
      "backward_flank": 6,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          21,
          6,
          83
        ],
        [
          6,
          83,
          21
        ],
        [
          83,
          21,
          6
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_whole_year_display",
      "clutch": 7,
      "forward_flank": 14,
      "backward_flank": 13,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          14,
          13,
          83
        ],
        [
          13,
          83,
          14
        ],
        [
          83,
          14,
          13
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    },
    {
      "phase_state": "Aaron_whole_year_display",
      "clutch": 14,
      "forward_flank": 7,
      "backward_flank": 20,
      "overlap": 83,
      "sum_flanks": 27,
      "cyclic_110_components": [
        [
          7,
          20,
          83
        ],
        [
          20,
          83,
          7
        ],
        [
          83,
          7,
          20
        ]
      ],
      "source": "File62 \u00a7\u00a76.1\u20136.4; exact general formula derived from source rows"
    }
  ],
  "joshua_maps": [
    {
      "source_interval": [
        1906,
        1796
      ],
      "state": "original backward Moses/Nisan",
      "translation": 430,
      "target": [
        1476,
        1366
      ]
    },
    {
      "source_interval": [
        1936,
        1826
      ],
      "state": "original forward Aaron whole-year display",
      "translation": 460,
      "target": [
        1476,
        1366
      ]
    },
    {
      "source_interval": [
        1476,
        1366
      ],
      "state": "regular Joshua",
      "translation": 70,
      "target": [
        1406,
        1296
      ]
    }
  ],
  "joshua_source": "File61 \u00a7\u00a714.1\u201314.3",
  "joshua_phase_diagnostics": [
    {
      "source_interval": [
        1933,
        1823
      ],
      "state": "original forward Moses/Nisan",
      "translation": 457,
      "target": [
        1476,
        1366
      ]
    },
    {
      "source_interval": [
        "3873/2",
        "3653/2"
      ],
      "state": "original forward Aaron/Tishri exact",
      "translation": "921/2",
      "target": [
        1476,
        1366
      ]
    }
  ],
  "fixed_joshua_contraction": {
    "source_start": 1526,
    "derived_start": 1512,
    "fixed_end": 1296,
    "source_width": 230,
    "derived_width": 216,
    "source": "File61 \u00a714.3A; File62 \u00a79"
  },
  "crossed_containers": [
    {
      "phase_offset": 0,
      "parts": [
        27,
        83,
        27
      ],
      "total": 137
    },
    {
      "phase_offset": 3,
      "parts": [
        30,
        80,
        30
      ],
      "total": 140
    },
    {
      "phase_offset": "7/2",
      "parts": [
        "61/2",
        "159/2",
        "61/2"
      ],
      "total": "281/2"
    }
  ],
  "crossed_source": "File61 \u00a7\u00a711.4,12.1\u201312.3; exact parts at p=3.5 derived, source prints exact outer diagonals 140.5/133.5",
  "adam_squares": [
    {
      "state": "base/backward Nisan",
      "head": 14006,
      "first": 1906,
      "second": 1796,
      "square": 12100,
      "rectangle": 12210
    },
    {
      "state": "Apparent/forward whole-year cross-branch",
      "head": 14036,
      "first": 1936,
      "second": 1826,
      "square": 12100,
      "rectangle": 12210
    }
  ],
  "adam_square_source": "File61 \u00a7\u00a712.4\u201312.6",
  "isaac_macro_partition": {
    "head": 14006,
    "translated_isaac": 2246,
    "conquest": 1406,
    "upper": 11760,
    "lower": 840,
    "total": 12600,
    "restored_cainan": 460,
    "apparent_age": 30,
    "combined_head": 14496,
    "combined_upper": 12250,
    "source": "File61 \u00a7\u00a717.3\u201317.7"
  },
  "key_scale_family": [
    {
      "scale": "full",
      "u": 7,
      "input": 161,
      "output": 175,
      "gain": 14
    },
    {
      "scale": "half",
      "u": "7/2",
      "input": "161/2",
      "output": "175/2",
      "gain": 7
    },
    {
      "scale": "quarter",
      "u": "7/4",
      "input": "161/4",
      "output": "175/4",
      "gain": "7/2"
    }
  ],
  "key_scale_source": "File62 \u00a7\u00a78.3\u20138.4",
  "carrier_duration_only": {
    "head": "805/2",
    "terminal": "161/2",
    "total": 483,
    "local_E_terminal": 490,
    "whole_P": 490,
    "whole_E": 525,
    "exact_day_total": 176400,
    "source": "File62 \u00a7\u00a78.6A\u20138.6C; duration reconstruction need not reopen quarantined 1486 node"
  },
  "fixed_anchors": {
    "Moses_birth": 1526,
    "Exodus": 1446,
    "Conquest_Moses_death": 1406,
    "Joshua_regular_death": 1366,
    "Joshua_cumulative_endpoint": 1296
  },
  "excluded": [
    "No second decimal inversion",
    "No Moses or 1876 primer reopening",
    "No promotion of 1486 to active synthesis node",
    "No H7/T14 outside declared local root zone",
    "No Gear transport above Noah/Shem/Flood",
    "No moving Joshua endpoint",
    "No Cainan/Apparent operator collapse",
    "No physical calendar exactness claim",
    "No statistical independence claim for translated pairs"
  ]
}